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Larks comments on Causal Universes - Less Wrong
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It would be nice if there was some topology where the causal worlds were dense in the acausal ones.
Unfortunately, this strikes me as unlikely.
Why would that be nice?
Yes, and I forgot to put it in.
Wait, causal worlds are dense IN acausal ones?
Is that a typo, and you meant "causal worlds were denser than acausal ones" or did I just lose a whole swath of conversation?
I mean the class of causal worlds be dense in the class of worlds, where worlds consists of causal and acausal worlds. The same way we understand a lot of things in functional analysis: prove the result for the countable case, prove that taking compactifications/completions preserves the property, and then you have it for all separable spaces.